5438024000 has 56 divisors (see below), whose sum is σ = 13467286248. Its totient is φ = 2175206400.

The previous prime is 5438023993. The next prime is 5438024003. The reversal of 5438024000 is 4208345.

It can be written as a sum of positive squares in 4 ways, for example, as 502118464 + 4935905536 = 22408^2 + 70256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5438024003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331877 + ... + 347876.

Almost surely, 2^5438024000 is an apocalyptic number.

5438024000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5438024000 is an abundant number, since it is smaller than the sum of its proper divisors (8029262248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5438024000 is an equidigital number, since it uses as much as digits as its factorization.

5438024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679780 (or 679760 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 5438024000 is about 73742.9589859262. The cubic root of 5438024000 is about 1758.5188985792.

The spelling of 5438024000 in words is "five billion, four hundred thirty-eight million, twenty-four thousand".